lab 203 - LAB 203 Mehar Ghei LABORATORY EXPERIMENT REPORT...

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Unformatted text preview: LAB 203 Mehar Ghei LABORATORY EXPERIMENT REPORT Name: Mehar Ghei Group Members: Yvonne Chen, Marvin Castellon, Jeremy Buhain Experiment Date: Thursday, February 17 th Course Name: PHYS 121A Section: H02 Instructor: Beidi He LABORATORY #203 Electric Potential 1. OBJECTIVE To calculate the electric potential due to a charge and draw a contour and surface plots of the electric potential using MATLAB. 2. THEORETICAL BACKGROUND = V 141r = + r x2 y2 = = * k 14 9 109Nm2C2 = ( + ) V 14 q1r1 q2r2 =(- ) +(- ) r12 x1 x 2 y1 y 2 =(- ) +(- ) r22 x2 x 2 y2 y 2 =- = + , - ( , ) Ex V x Vx x y V x y x =- = , +- ( , ) Ex V y Vx y y V x y y 3. EQUIPMENT a. MATLAB software 4. COLLECTED DATA VECTOR FIELD clear all q = 1*10^-9; esp0 = 8.85*10^-12; k = 1./(4*pi*esp0); Page 1 of 9 LAB 203 Mehar Ghei x = -2.1:0.2:2.1; y = -2.1:0.2:2.1; [X, Y] = meshgrid(x,y); r2 = (X-1).^2 + (Y-1).^2; r = sqrt(r2); V = k*q./r; [c,h] = contour(x,y,V,10); clabel(c,h); xlabel 'x' ; ylabel 'y' surf(x, y, V) [px, py] = gradient (V, 0.1, 0.1); quiver(x, y,-px,-py,2) xlabel 'x' ; ylabel 'y' CONTOUR clear all q = 1*10^-9; esp0 = 8.85*10^-12; k = 1./(4*pi*esp0); x = -2.1:0.2:2.1; y = -2.1:0.2:2.1; [X, Y] = meshgrid(x,y); r2 = (X-1).^2 + (Y-1).^2; r = sqrt(r2); V = k*q./r; [c,h] = contour(x,y,V,10); clabel(c,h); xlabel 'x' ; ylabel 'y' SURFACE clear all q = 1*10^-9; esp0 = 8.85*10^-12; k = 1./(4*pi*esp0); x = -2.1:0.2:2.1; y = -2.1:0.2:2.1; [X, Y] = meshgrid(x,y); r2 = (X-1).^2 + (Y-1).^2; r = sqrt(r2); V = k*q./r; [c,h] = contour(x,y,V,10); clabel(c,h); xlabel...
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lab 203 - LAB 203 Mehar Ghei LABORATORY EXPERIMENT REPORT...

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